On splitting of the normalizer of a maximal torus in orthogonal groups

DOI10.1142/S0219498817501742zbMath1423.20054MaRDI QIDQ5276021

A. A. Gal't

Publication date: 14 July 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

Weyl grouporthogonal groupmaximal torusnormalizer of a torus

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Linear algebraic groups over finite fields (20G40) Structure theory for linear algebraic groups (20G07)

Related Items (3)

Minimal supplements of maximal tori in their normalizers for the groups ⋮ Splitting of normalizers of maximal tori in finite groups of Lie type ⋮ О расщепляемости нормализаторов максимальных торов в группах $E_7(q)$ и $E_8(q)$

Cites Work

• Unipotent elements of finite groups of Lie type and realization fields of their complex representations.
• The cyclic structure of maximal tori of the finite classical groups
• On splitting of the normalizer of a maximal torus in linear groups
• On the splitting of the normalizer of a maximal torus in symplectic groups
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